7/21/2019 Prob Viga Matriz

1/12

7/21/2019 Prob Viga Matriz

2/12

7/21/2019 Prob Viga Matriz

3/12

7/21/2019 Prob Viga Matriz

4/12

0

7/21/2019 Prob Viga Matriz

5/12

fc 210.00 Kg/cm2

E 2040816.33 Kg/cm2

b 25.00 cmh 50.00 cm

L 500.00 cm

I 40000.00 cm4

EI 81632653080.00 %g-cm2

L^2 250000.00

L^3 125000000.00

X1 0.00 cm

1 1

X2 0.00

2 2

w 40.00 Kg/cm2

1.5

!1 -10000 11"55.102

#1 833333.3333333 2$38""5.51

!2 -10000 -11"55.102

#2 -833333.333333 2$38""5.51

1$5$183.6" "836."3 1$5$183.6" -"836."3

326530612.32 1$5$183.6" 653061224.64 -1$5$183.6"

-1$5$183.6" -"836."3 -1$5$183.6" "836."3

653061224.64 1$5$183.6" 326530612.32 -1$5$183.6"

0.24 0.0$600000 0.24 -0.0$60

0.40 0.24 0.80 -0.24

0.24 -0.0$6 -0.24 -0.0$60

0.8 0.24 0.4 -0.24

00

0

7/21/2019 Prob Viga Matriz

6/12

0

7/21/2019 Prob Viga Matriz

7/12

1$5$183.6"

326530612.32

-1$5$183.6"

653061224.64

0.24

0.40

0.24

0.8

7/21/2019 Prob Viga Matriz

8/12

7/21/2019 Prob Viga Matriz

9/12

fc 210 Kg/cm2

E 21"3"0.6511$284 Kg/cm2 21"3"06.511$28

b 25 cm

h 40.462" cm

L 400 cm

I 138014.062530$2 cm4 0.0013801406EI 30000206646.115 Kg-cm2 3000.020664611

L^2 160000

L^3 64000000

X1 0 !1 !1

1 0 #1 #1

X2 -1 !2 '-!1

2 2 #2 0

5625.038"5 112500"."4$22$3 -5625.038"461 112500"."4$22$

112500"."5 300002066.46115 -112500"."4$2 150001033.2306-5625.038"5 -112500"."4$22$ 5625.038"461 -112500"."4$22$

112500"."5 150001033.23058 -112500"."4$2 300002066.4611

300002066.46115 150001033.23 0

150001033.23058 300002066.46 2

clc(l)

4.44441383E-00$ -2.22221E-00$ 0

-2.222206$2E-00$ 4.444414E-00$ 2

1 0

0 1

7/21/2019 Prob Viga Matriz

10/12

* 4 t+/m 40 Kg/cm

!1 -8000

#1 -533333.33333

!2 -8000

m2 533333.33333t+-m2

0 -8000.00

0 -533333.33-1 -8000.00

2 533333.33

0

-0.003"5

0

-0.003"5

,)l(c)+ clc(l)

0 !1 1406.25$6865 1.40625$6$ +

0 #1 562503.8"461 5.625038"5 t+-m

-1 !2 -1406.25$6865 -1.40625$6$ +

-0.003"5 #2 0

7/21/2019 Prob Viga Matriz

11/12

fc 210.00 Kg/cm2

E 21"3"0.65 Kg/cm2 21"3".06511$2842

b 20.00 cm

h 50.00 cm

L 800.00 cm

I 208333.33 cm4 2083333333.33333EI 45285552331.84 Kg-cm2

L^2 640000.00 cm2

L^3 512000000.00 cm3

X1 0.00 cm

1 1

X2 -1.00

2 2

w 40.00 Kg/cm2

!1 -16000

#1 2133333.3333333!2 -16000

#2 -2133333.3333333

1061.38 424552.05 -1061.38 424552.05

424552.05 22642""61.66 -424552.05 113213880.83

-1061.38 -424552.05 1061.38 -424552.05

424552.05 113213880.83 -424552.05 22642""61.66

22642""61.66 1

113213880.83 2

clc(l)

7/21/2019 Prob Viga Matriz

12/12

fc 210.00 Kg/cm2

E 21"3"0.65 Kg/cm2

b 25.00 cm

h 50.00 cm

L 500.00 cm

I 260416.6" cm4EI 56606$40414.80 %g-cm2

L^2 250000.00

L^3 125000000.00

X1 0.00 cm

1 1

X2 0.00

2 2

w 40.00 Kg/cm2

!1 -10000

#1 833333.333333333!2 -10000

#2 -833333.333333333

5434.2" 1358566.5" -5434.2" 1358566.5"

1358566.5" 452855523.32 -1358566.5"

-5434.2" -1358566.5" 5434.2" -1358566.5"

1358566.5" 22642""61.66 -1358566.5"

0

0